The Intrinsic Structure of High-Dimensional Data According to the Uniqueness of Constant Mean Curvature Hypersurfaces

The Intrinsic Structure of High-Dimensional Data According to the Uniqueness of Constant Mean Curvature Hypersurfaces

In this paper, we study the intrinsic structures of high-dimensional data sets for analyzing their geometrical properties, where the core message of the high-dimensional data is hiding on some nonlinear manifolds. Using the manifold learning technique with a particular focus on the mean curvature, w...

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Bibliographic Details
Main Authors: Junhong Dong, Qiong Li, Ximin Liu
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Mathematics
Subjects:
intrinsic geometry structure
Laplacian operator
weak maximum principle
uniqueness
spacelike slice
spacelike hypersurface
Online Access:https://www.mdpi.com/2227-7390/10/20/3894

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https://www.mdpi.com/2227-7390/10/20/3894

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